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Finding the Fourth Proportional to 122.20, 168.34 and 114.64

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Solution

The fourth proportional to 122.20, 168.34 and 114.64 is: 157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.20 : 168.34 = 114.64 : x
  2. Step 2: Convert to fraction form
    122.20/168.34 = 114.64/x
  3. Step 3: Cross multiply
    122.20x = 168.34 × 114.64
  4. Step 4: Simplify right side
    122.20x = 19,298.50
  5. Step 5: Solve for x
    x = 19,298.50/122.20
  6. Step 6: Final answer
    x = 157.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.